Simplifying multi-term fractions

Simplifying multi-term fractions

Secondary 2
3 marks
TGM Original Questions

Express as a single fraction in its simplest form: \(\dfrac{x-1}{2x^2+x-3}-\dfrac{x+2}{2x^2+3x-2}\). State the restrictions on the original expression.[3]

Solution:

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Answer:\(- \dfrac{4}{\left(2 x - 1\right) \left(2 x + 3\right)}\) where \(x - 1\ne0,\ 2 x + 3\ne0,\ x + 2\ne0,\ 2 x - 1\ne0\)

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